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arxiv: 2601.08650 · v2 · pith:A3IF4N7Onew · submitted 2026-01-13 · 🧮 math.AP · math.PR

Subdiffusive fractional limit of a jump-renewal equation

classification 🧮 math.AP math.PR
keywords timeequationfractionallimitage-structuredarisesconsidercontinuous
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In this paper, we consider an age-structured jump model that arises as a description of continuous time random walks with infinite mean waiting time between jumps. We prove that under a suitable rescaling, this equation converges in the long time large scale limit to a time fractional subdiffusion equation.

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